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484367680 = 2657121319
BaseRepresentation
bin11100110111101…
…101110101000000
31020202102102112201
4130313231311000
51442444231210
6120021402544
715001025446
oct3467556500
91222372481
10484367680
1122945a675
12116269454
13794709c4
1448486b96
152c7cb53a
hex1cdedd40

484367680 has 56 divisors (see below), whose sum is σ = 1169700480. Its totient is φ = 191009280.

The previous prime is 484367669. The next prime is 484367687. The reversal of 484367680 is 86763484.

It is a super-2 number, since 2×4843676802 = 469224098857164800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 484367680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484367687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12061 + ... + 33379.

Almost surely, 2484367680 is an apocalyptic number.

484367680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584850240).

484367680 is an abundant number, since it is smaller than the sum of its proper divisors (685332800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

484367680 is a wasteful number, since it uses less digits than its factorization.

484367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21407 (or 21397 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 484367680 is about 22008.3547772204. The cubic root of 484367680 is about 785.3412069650.

The spelling of 484367680 in words is "four hundred eighty-four million, three hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 11360 21319 22720 42638 85276 106595 170552 213190 341104 426380 682208 852760 1364416 1513649 1705520 3027298 3411040 6054596 6822080 7568245 12109192 15136490 24218384 30272980 48436768 60545960 96873536 121091920 242183840 484367680